Literature DB >> 23856647

On boundary stimulation and optimal boundary control of the bidomain equations.

Nagaiah Chamakuri1, Karl Kunisch, Gernot Plank.   

Abstract

The bidomain equations with Neumann boundary stimulation and optimal control of these stimuli are investigated. First an analytical framework for boundary control is provided. Then a parallel finite element based algorithm is devised and its efficiency is demonstrated not only for the direct problem but also for the optimal control problem. The computations realize a model configuration corresponding to optimal boundary defibrillation of a reentry phenomenon by applying current density stimuli.
Copyright © 2013 Elsevier Inc. All rights reserved.

Entities:  

Keywords:  Bidomain model; Defibrillation; Neumann stimulation; Optimal control; Parallel FEM

Mesh：

Year:  2013        PMID： 23856647      PMCID： PMC3980049          DOI： 10.1016/j.mbs.2013.07.004

Source DB:  PubMed          Journal:  Math Biosci        ISSN： 0025-5564            Impact factor:   2.144


  14 in total

1.  A comparison of monodomain and bidomain reaction-diffusion models for action potential propagation in the human heart.

Authors:  Mark Potse; Bruno Dubé; Jacques Richer; Alain Vinet; Ramesh M Gulrajani
Journal:  IEEE Trans Biomed Eng       Date:  2006-12       Impact factor: 4.538

Review 2.  Continuous and discontinuous propagation in heart muscle.

Authors:  Jacques M T de Bakker; Harold M V van Rijen
Journal:  J Cardiovasc Electrophysiol       Date:  2006-05

3.  Evaluating intramural virtual electrodes in the myocardial wedge preparation: simulations of experimental conditions.

Authors:  G Plank; A Prassl; E Hofer; N A Trayanova
Journal:  Biophys J       Date:  2007-11-09       Impact factor: 4.033

4.  Electrical conductivity values used with the bidomain model of cardiac tissue.

Authors:  B J Roth
Journal:  IEEE Trans Biomed Eng       Date:  1997-04       Impact factor: 4.538

5.  Current injection into a two-dimensional anisotropic bidomain.

Authors:  N G Sepulveda; B J Roth; J P Wikswo
Journal:  Biophys J       Date:  1989-05       Impact factor: 4.033

6.  A collocation--Galerkin finite element model of cardiac action potential propagation.

Authors:  J M Rogers; A D McCulloch
Journal:  IEEE Trans Biomed Eng       Date:  1994-08       Impact factor: 4.538

7.  Optimal control approach to termination of re-entry waves in cardiac electrophysiology.

Authors:  Chamakuri Nagaiah; Karl Kunisch; Gernot Plank
Journal:  J Math Biol       Date:  2012-06-09       Impact factor: 2.259

Review 8.  Whole-heart modeling: applications to cardiac electrophysiology and electromechanics.

Authors:  Natalia A Trayanova
Journal:  Circ Res       Date:  2011-01-07       Impact factor: 17.367

9.  Algebraic multigrid preconditioner for the cardiac bidomain model.

Authors:  Gernot Plank; Manfred Liebmann; Rodrigo Weber dos Santos; Edward J Vigmond; Gundolf Haase
Journal:  IEEE Trans Biomed Eng       Date:  2007-04       Impact factor: 4.538

10.  Simulating human cardiac electrophysiology on clinical time-scales.

Authors:  Steven Niederer; Lawrence Mitchell; Nicolas Smith; Gernot Plank
Journal:  Front Physiol       Date:  2011-04-09       Impact factor: 4.566
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  1 in total

1.  Modelling the heart as a communication system.

Authors:  Hiroshi Ashikaga; José Aguilar-Rodríguez; Shai Gorsky; Elizabeth Lusczek; Flávia Maria Darcie Marquitti; Brian Thompson; Degang Wu; Joshua Garland
Journal:  J R Soc Interface       Date:  2015-04-06       Impact factor: 4.118
  1 in total

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